Pith Number

pith:ILR4TRRZ

pith:2015:ILR4TRRZZSEC7USJYPVNAFXLMT

not attested not anchored not stored refs pending

Coend calculus

Fosco Loregian

arxiv:1501.02503 v7 · 2015-01-11 · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILR4TRRZZSEC7USJYPVNAFXLMT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Finite Observations, Infinite Behaviour: bicategorical semantics for stateful monoidal processes

Receipt and verification

First computed	2026-07-05T06:11:52.035889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e3c9c639cc882fd249c3ead016eb64eddcb9d85c19927886122eb9987c9f51

Aliases

arxiv: 1501.02503 · arxiv_version: 1501.02503v7 · doi: 10.48550/arxiv.1501.02503 · pith_short_12: ILR4TRRZZSEC · pith_short_16: ILR4TRRZZSEC7USJ · pith_short_8: ILR4TRRZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ILR4TRRZZSEC7USJYPVNAFXLMT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 42e3c9c639cc882fd249c3ead016eb64eddcb9d85c19927886122eb9987c9f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9788a47c22797d3d862f79b6e51a06cab8ab6d38bc25a7d0dfa61ddc36cd6cde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-01-11T22:24:02Z",
    "title_canon_sha256": "093bb77110f65ba2a63443b62c3f34aaf3f1129e9b3cb0e1b2b4a37ce902dc6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02503",
    "kind": "arxiv",
    "version": 7
  }
}